Final answer:
The correct equation of a line with a slope of 2 and a y-intercept at (0, -2) in slope-intercept form is y = 2x - 2, which corresponds to option b). This is derived by substituting the given slope and y-intercept into the formula y = mx + b.
Step-by-step explanation:
The equation of a line in slope-intercept form is given by y = mx + b, where 'm' represents the slope of the line and 'b' represents the y-intercept. Given that the slope (m) of the line is 2 and the y-intercept (b) is at (0, -2), we use these values to write the equation. Thus, the equation becomes y = 2x - 2.
Substituting the given values into the slope-intercept form:
- m (slope) = 2
- b (y-intercept) = -2
By plugging these into y = mx + b, we get:
y = (2)x + (-2)
Therefore, option b) y = 2x - 2 is the correct equation of the line with the given slope and y-intercept.